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XiaD-Modules and

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CONTENTS

Discrete Orderings and Commutative Monoids . . . 1395 A. Tz.ouva.ras

Nearness Relations in Discretely Ordered Rings . . . 1409 A. Tzouvaras

Auslander Algebras Are 2-Gorenstein . . . 1427 J. Y. Guo and Q. Wu

Endomorphism Rings of Quasi-principally Injective Modules . . . 1437 N. V. Sanh and K. P. Shum

First Syzygies of Toric Varieties and Diophantine Equations

in C o n g r u e n c e . . . 1445 P. Pisdn-Casares and A. Vigneron-Tenorio

Commutative Rings in Which Every Principal Ideal Is a Finite

Intersection of Prime Power I d e a l s . . . 1467 C. Jayaram

Rings Whose Simple Modules Are Absolutely P u r e . . . 1477 Z. Wu and Q. Xia

D-Modules and Etale Morphisms . . . 1487 S. C. Coutinho and D. Levcovitz

Normality of Affine Semigroup Rings Generated by

2-Dimensional Cone Type Simplicial Complexes. . . . 1499 Y. Takayama

Closed Submodules of Normalizing Bimodules over Semiprime

Rings . . . 1513 M. Ferrero

Nilpotent Lie Algebras of Maximal Rank and of Kac-Moody

Type: F . . . 1551 D. Ferndndez-Ternero and]. Niinez-Valdes

An n-Rewritability Criterion for Infinite Groups . . . 1571 A. Abdollahi, A. Mohammadi Hassanabadi, and B. Taeri

Pro-p Groups of Finite Width . . . 1583 A. R. Camina and R. D. Camina

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Algebraic Elements in Alternative Loop A l g e b r a s . . . 1595 A. K. Bhandari, A. Kaila, and I. B. S. Passi

On Derivation Deviations in an Abstract Pre-operad . . . 1609|

L. Kluge and E. Paal

Topological Hochschild Homology and the Condition of

Hochschild-Kostant-Rosenberg . . . 1627 M. Larsen and A. Lindenstrauss

Automorphisms of the Enveloping Algebra of the Three-

Dimensional Nilpotent Lie Algebra . . . 1639 V. Drensky

Krull-Schmidt Theorem and Homogeneous Semilocal R i n g s . . . 1649 F. Barioli, A. Facchini, F. Raggi, and J. Ri'os

When Are Artinian Pi-Rings Artin Algebras? . . . 1659 M. Schmidmeier

On Single Laws for Varieties of Quasigroups Associated with

Extended Cycle Systems . . . 1669 A. Khodkar and S. Zahrai

Z x Z-Graded Lie Algebras Containing a Virasoro Algebra

and a Heisenberg Algebra . . . 1677 J. M. Osborn and K. Zhao

Modules over Pull-Backs of Algebras . . . 1709 Z. Pogorwiy

The Multiplication Algebra of a B-Semisimple Baric Algebra . . . 1729 M. A. Couto and H. Guzzo, Jr.

Direct Sums of Multiplication Modules . . . 1741 S. Singh

The Groups of Order q" p . . . 1759 H. U. Besche and B. Eick

A New Computer Construction of the Irreducible 112-Dimensional 2-Modular Representation ofJanko's

Group . / 4 . . . 1773 G. 0. Michler and M. Weller

Homogeneous Semilocal R i n g s . . . 1807 R. Corisello and A. Facchini

On the Level of a Quaternion Algebra . . . 1821 A. Laghribi and P. Mammone

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Characters Induced from Fully Ramified Subgroups . . . 1829 G. Navarro and L. Sanus

A Gel'fand Model for the Symmetric Group. . . . 1841 J. L. Aguado and J. 0. Araujo

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